Nature of problem:The program solves the one dimensional Schrodinger equation numerically
to any desired degree of accuracy. The solutions are needed in
molecular spectroscopy, molecular scattering theory and photodissociat-
ion theory. They may also be used as a component of a more extensive
code for solving the Schrodinger equation in more than one dimension.

Solution method:A regular grid of points is defined which spans the region of interest.
A simple hamiltonian matrix is then calculated, requiring only the
evaluation of a few cosine functions and the value of the potential on
the grid points (V(xi)). The eigenvalues and eigenvectors of this
matrix are then found. The eigenvalues which lie below the asymptotic
value of the potential (V(x=infinity)) are the bound state energies and
the corresponding eigenvectors are the eigenfunctions evaluated at the
grid points. This extended below to encompass the situation where an
even number of grid points is used. In the present computer code we use
some subroutines from the EISPACK package to find the necessary eigen-
values and eigenvectors.

Restrictions:The Schrodinger equation must be in one dimension only and the
coordinate involved must correspond to a radial or length type
coordinate. The potential must possess a minimum and at short distances
it must be very large and positive (repulsive). The number of grid
points must be even.